Constructive nonlinear control:
Gespeichert in:
| Beteiligte Personen: | , , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1997
|
| Schriftenreihe: | Communications and control engineering
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007881227&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Literaturverz. S. 301 - 310. - Hier auch später erschienene, unveränderte Nachdrucke |
| Umfang: | XI, 313 S. Ill., graph. Darst. |
| ISBN: | 3540761276 9781447112457 |
Internformat
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| 100 | 1 | |a Sepulchre, Rodolphe |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Constructive nonlinear control |c R. Sepulchre, M. Janković and P. V. Kokotović |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1997 | |
| 300 | |a XI, 313 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Communications and control engineering | |
| 500 | |a Literaturverz. S. 301 - 310. - Hier auch später erschienene, unveränderte Nachdrucke | ||
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| 650 | 0 | 7 | |a Nichtlineares Regelungssystem |0 (DE-588)4276212-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Nichtlineares Regelungssystem |0 (DE-588)4276212-1 |D s |
| 689 | 0 | 1 | |a Rückkopplung |0 (DE-588)4050851-1 |D s |
| 689 | 0 | 2 | |a Ljapunov-Funktion |0 (DE-588)4274502-0 |D s |
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| 689 | 1 | 0 | |a Nichtlineares Regelungssystem |0 (DE-588)4276212-1 |D s |
| 689 | 1 | 1 | |a Ljapunov-Funktion |0 (DE-588)4274502-0 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Janković, Mrdjan |e Verfasser |4 aut | |
| 700 | 1 | |a Kokotović, Petar V. |d 1934- |e Verfasser |0 (DE-588)112828280 |4 aut | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-007881227 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0002 MSR 660f 98 A 709 |
|---|---|
| DE-BY-TUM_katkey | 907763 |
| DE-BY-TUM_location | 00 |
| DE-BY-TUM_media_number | 040003254102 |
| _version_ | 1822630296795742208 |
| adam_text | R. SEPULCHRE, M. JANKOVIC AND P.V. KOKOTOVIC CONSTRUCTIVE NONLINEAR
CONTROL WITH 41 FIGURES SPRINGER CONTENTS 1 INTRODUCTION 1 1.1
PASSIVITY, OPTIMALITY, AND STABILITY 2 1.1.1 FROM ABSOLUTE STABILITY TO
PASSIVITY 2 1.1.2 PASSIVITY AS A PHASE CHARACTERISTIC 3 1.1.3 OPTIMAL
CONTROL AND STABILITY MARGINS 5 1.2 FEEDBACK PASSIVATION 6 1.2.1
LIMITATIONS OF FEEDBACK LINEARIZATION 6 1.2.2 FEEDBACK PASSIVATION AND
FORWARDING 7 1.3 CASCADE DESIGNS 8 1.3.1 PASSIVATION WITH COMPOSITE
LYAPUNOV FUNCTIONS 8 1.3.2 A STRUCTURAL OBSTACLE: PEAKING 9 1.4 LYAPUNOV
CONSTRUCTIONS 12 1.4.1 CONSTRUCTION OF THE CROSS-TERM 12 1.4.2 A
BENCHMARK EXAMPLE 13 1.4.3 ADAPTIVE CONTROL 15 1.5 RECURSIVE DESIGNS 15
1.5.1 OBSTACLES TO PASSIVATION 15 1.5.2 REMOVING THE RELATIVE DEGREE
OBSTACLE 16 1.5.3 REMOVING THE MINIMUM PHASE OBSTACLE 17 1.5.4 SYSTEM
STRUCTURES 18 1.5.5 APPROXIMATE ASYMPTOTIC DESIGNS 19 1.6 BOOK STYLE AND
NOTATION 23 1.6.1 STYLE 23 1.6.2 NOTATION AND ACRONYMS 23 VIII CONTENTS
2 PASSIVITY CONCEPTS AS DESIGN TOOLS 25 2.1 DISSIPATIVITY AND PASSIVITY
26 2.1.1 CLASSES OF SYSTEMS 26 2.1.2 BASIC CONCEPTS 27 2.2
INTERCONNECTIONS OF PASSIVE SYSTEMS 31 2.2.1 PARALLEL AND FEEDBACK
INTERCONNECTIONS 31 2.2.2 EXCESS AND SHORTAGE OF PASSIVITY 34 2.3
LYAPUNOV STABILITY AND PASSIVITY 40 2.3.1 STABILITY AND CONVERGENCE
THEOREMS 40 2.3.2 STABILITY WITH SEMIDEFINITE LYAPUNOV FUNCTIONS 45
2.3.3 STABILITY OF PASSIVE SYSTEMS 48 2.3.4 STABILITY OF FEEDBACK
INTERCONNECTIONS 50 2.3.5 ABSOLUTE STABILITY 54 2.3.6 CHARACTERIZATION
OF AFFINE DISSIPATIVE SYSTEMS 56 2.4 FEEDBACK PASSIVITY 59 2.4.1
PASSIVITY: A TOOL FOR STABILIZATION 59 2.4.2 FEEDBACK PASSIVE LINEAR
SYSTEMS 60 2.4.3 FEEDBACK PASSIVE NONLINEAR SYSTEMS 63 2.4.4 OUTPUT
FEEDBACK PASSIVITY 66 2.5 SUMMARY 68 2.6 NOTES AND REFERENCES 68 3
STABILITY MARGINS AND OPTIMALITY 71 3.1 STABILITY MARGINS FOR LINEAR
SYSTEMS 72 3.1.1 CLASSICAL GAIN AND PHASE MARGINS 72 3.1.2 SECTOR AND
DISK MARGINS 75 3.1.3 DISK MARGIN AND OUTPUT FEEDBACK PASSIVITY 78 3.2
INPUT UNCERTAINTIES 83 3.2.1 STATIC AND DYNAMIC UNCERTAINTIES 83 3.2.2
STABILITY MARGINS FOR NONLINEAR FEEDBACK SYSTEMS 86 3.2.3 STABILITY WITH
FAST UNMODELED DYNAMICS 86 3.3 OPTIMALITY, STABILITY, AND PASSIVITY 91
3.3.1 OPTIMAL STABILIZING CONTROL 91 3.3.2 OPTIMALITY AND PASSIVITY 95
3.4 STABILITY MARGINS OF OPTIMAL SYSTEMS 99 3.4.1 DISK MARGIN FOR R(X) =
I 99 CONTENTS IX 3.4.2 SECTOR MARGIN FOR DIAGONAL R(X) ^ I 100 3.4.3
ACHIEVING A DISK MARGIN BY DOMINATION 103 3.5 INVERSE OPTIMAL DESIGN 107
3.5.1 -.INVERSE OPTIMALITY 107 3.5.2 DAMPING CONTROL FOR STABLE SYSTEMS
110 3.5.3 CLF FOR INVERSE OPTIMAL CONTROL 112 3.6 SUMMARY 119 3.7 NOTES
AND REFERENCES 120 4 CASCADE DESIGNS 123 4.1 CASCADE SYSTEMS 124 4.1.1
TORA SYSTEM 124 4.1.2 TYPES OF CASCADES 125 4.2 PARTIAL-STATE FEEDBACK
DESIGNS 126 4.2.1 LOCAL STABILIZATION 126 4.2.2 GROWTH RESTRICTIONS FOR
GLOBAL STABILIZATION 128 4.2.3 ISS CONDITION FOR GLOBAL STABILIZATION
133 4.2.4 STABILITY MARGINS: PARTIAL-STATE FEEDBACK 135 4.3 FEEDBACK
PASSIVATION OF CASCADES 138 4.4 DESIGNS FOR THE TORA SYSTEM 145 4.4.1
TORA MODELS 145 4.4.2 TWO PRELIMINARY DESIGNS 146 4.4.3 CONTROLLERS WITH
GAIN MARGIN 148 4.4.4 A REDESIGN TO IMPROVE PERFORMANCE 149 4.5 OUTPUT
PEAKING: AN OBSTACLE TO GLOBAL STABILIZATION 153 4.5.1 THE PEAKING
PHENOMENON 153 4.5.2 NONPEAKING LINEAR SYSTEMS 157 4.5.3 PEAKING AND
SEMIGLOBAL STABILIZATION OF CASCADES 163 4.6 SUMMARY 170 4.7 NOTES AND
REFERENCES 171 5 CONSTRUCTION OF LYAPUNOV FUNCTIONS 173 5.1 COMPOSITE
LYAPUNOV FUNCTIONS FOR CASCADE SYSTEMS 174 5.1.1 BENCHMARK SYSTEM 174
5.1.2 CASCADE STRUCTURE 176 5.1.3 COMPOSITE LYAPUNOV FUNCTIONS 178 5.2
LYAPUNOV CONSTRUCTION WITH A CROSS-TERM 183 X CONTENTS 5.2.1 THE
CONSTRUCTION OF THE CROSS-TERM 183 5.2.2 DIFFERENTIABILITY OF THE
FUNCTION * 188 5.2.3 COMPUTING THE CROSS-TERM 194 5.3 RELAXED
CONSTRUCTIONS 198 5.3.1 GEOMETRIC INTERPRETATION OF THE CROSS-TERM 198
5.3.2 RELAXED CHANGE OF COORDINATES 201 5.3.3 LYAPUNOV FUNCTIONS WITH
RELAXED CROSS-TERM 203 5.4 STABILIZATION OF AUGMENTED CASCADES 208 5.4.1
DESIGN OF THE STABILIZING FEEDBACK LAWS 208 5.4.2 A STRUCTURAL CONDITION
FOR GAS AND LES 210 5.4.3 BALL-AND-BEAM EXAMPLE 214 5.5 LYAPUNOV
FUNCTIONS FOR ADAPTIVE CONTROL 216 5.5.1 PARAMETRIC LYAPUNOV FUNCTIONS
217 5.5.2 CONTROL WITH KNOWN 6 219 5.5.3 ADAPTIVE CONTROLLER DESIGN 221
5.6 SUMMARY 226 5.7 NOTES AND REFERENCES 227 6 RECURSIVE DESIGNS 229 6.1
BACKSTEPPING 230 6.1.1 INTRODUCTORY EXAMPLE 230 6.1.2 BACKSTEPPING
PROCEDURE 235 6.1.3 NESTED HIGH-GAIN DESIGNS 239 6.2 FORWARDING 249
6.2.1 INTRODUCTORY EXAMPLE 249 6.2.2 FORWARDING PROCEDURE 253 6.2.3
REMOVING THE WEAK MINIMUM PHASE OBSTACLE 257 6.2.4 GEOMETRIC PROPERTIES
OF FORWARDING 263 6.2.5 DESIGNS WITH SATURATION 266 6.2.6 TRADE-OFFS IN
SATURATION DESIGNS 273 6.3 INTERLACED SYSTEMS 276 6.3.1 INTRODUCTORY
EXAMPLE 276 6.3.2 NON-AFH NE SYSTEMS 278 6.3.3 STRUCTURAL CONDITIONS FOR
GLOBAL STABILIZATION 280 6.4 SUMMARY AND PERSPECTIVES 283 6.5 NOTES AND
REFERENCES 284 CONTENTS XI A BASIC GEOMETRIC CONCEPTS 285 A.I RELATIVE
DEGREE 285 A.2 NORMAL FORM 287 A.3 THE ZERO DYNAMICS 290 A.4
RIGHT-INVERTIBILITY 292 A.5 GEOMETRIC PROPERTIES 293 B PROOFS OF
THEOREMS 3.18 AND 4.35 295 B.I PROOF OF THEOREM 3.18 295 B.2 PROOF OF
THEOREM 4.35 297 BIBLIOGRAPHY 301 INDEX 311
|
| any_adam_object | 1 |
| author | Sepulchre, Rodolphe Janković, Mrdjan Kokotović, Petar V. 1934- |
| author_GND | (DE-588)112828280 |
| author_facet | Sepulchre, Rodolphe Janković, Mrdjan Kokotović, Petar V. 1934- |
| author_role | aut aut aut |
| author_sort | Sepulchre, Rodolphe |
| author_variant | r s rs m j mj p v k pv pvk |
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| bvnumber | BV011688819 |
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| discipline | Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| format | Book |
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| id | DE-604.BV011688819 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T10:16:57Z |
| institution | BVB |
| isbn | 3540761276 9781447112457 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007881227 |
| oclc_num | 247105906 |
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| owner_facet | DE-20 DE-91 DE-BY-TUM DE-898 DE-BY-UBR DE-634 DE-29T |
| physical | XI, 313 S. Ill., graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Springer |
| record_format | marc |
| series2 | Communications and control engineering |
| spellingShingle | Sepulchre, Rodolphe Janković, Mrdjan Kokotović, Petar V. 1934- Constructive nonlinear control Ljapunov-Funktion (DE-588)4274502-0 gnd Rückkopplung (DE-588)4050851-1 gnd Nichtlineares Regelungssystem (DE-588)4276212-1 gnd |
| subject_GND | (DE-588)4274502-0 (DE-588)4050851-1 (DE-588)4276212-1 |
| title | Constructive nonlinear control |
| title_auth | Constructive nonlinear control |
| title_exact_search | Constructive nonlinear control |
| title_full | Constructive nonlinear control R. Sepulchre, M. Janković and P. V. Kokotović |
| title_fullStr | Constructive nonlinear control R. Sepulchre, M. Janković and P. V. Kokotović |
| title_full_unstemmed | Constructive nonlinear control R. Sepulchre, M. Janković and P. V. Kokotović |
| title_short | Constructive nonlinear control |
| title_sort | constructive nonlinear control |
| topic | Ljapunov-Funktion (DE-588)4274502-0 gnd Rückkopplung (DE-588)4050851-1 gnd Nichtlineares Regelungssystem (DE-588)4276212-1 gnd |
| topic_facet | Ljapunov-Funktion Rückkopplung Nichtlineares Regelungssystem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007881227&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT sepulchrerodolphe constructivenonlinearcontrol AT jankovicmrdjan constructivenonlinearcontrol AT kokotovicpetarv constructivenonlinearcontrol |
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